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Simplifying 3(3n + -5) = 4(n + 1) Reorder the terms: 3(-5 + 3n) = 4(n + 1) (-5 * 3 + 3n * 3) = 4(n + 1) (-15 + 9n) = 4(n + 1) Reorder the terms: -15 + 9n = 4(1 + n) -15 + 9n = (1 * 4 + n * 4) -15 + 9n = (4 + 4n) Solving -15 + 9n = 4 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -15 + 9n + -4n = 4 + 4n + -4n Combine like terms: 9n + -4n = 5n -15 + 5n = 4 + 4n + -4n Combine like terms: 4n + -4n = 0 -15 + 5n = 4 + 0 -15 + 5n = 4 Add '15' to each side of the equation. -15 + 15 + 5n = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 5n = 4 + 15 5n = 4 + 15 Combine like terms: 4 + 15 = 19 5n = 19 Divide each side by '5'. n = 3.8 Simplifying n = 3.8
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